DLMF:14.5.E4 (Q4716)

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Language	Label	Description	Also known as
English	DLMF:14.5.E4	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\left.\frac{\mathrm{d}\mathsf{Q}^{\mu}_{\nu}\left(% x\right)}{\mathrm{d}x}\right|_{x=0}=\frac{2^{\mu}\pi^{1/2}\cos\left(\frac{1}{2% }(\nu+\mu)\pi\right)\Gamma\left(\frac{1}{2}\nu+\frac{1}{2}\mu+1\right)}{\Gamma% \left(\frac{1}{2}\nu-\frac{1}{2}\mu+\frac{1}{2}\right)},}}

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DLMF:14.5.E4

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{\displaystyle{\displaystyle\nu+\mu\neq-2,-4,-6,\dots}}

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Defining formula

{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2acdec

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Ferrers function of the second kind

Defining formula

{\displaystyle{\displaystyle\mathsf{Q}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}% \right)}}

C14.S3.E2.m2aadec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2acdec

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cosine function

Defining formula

{\displaystyle{\displaystyle\cos\NVar{z}}}

C4.S14.E2.m2adec

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derivative of $$f$$ with respect to $$x$$

Defining formula

{\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}

C1.S4.E4.m2aadec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1adec

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